Research

Papers

  1. Transverse measures to infinite type laminations. With Mladen Bestvina. Preprint, 2022. Submitted.

  2. Valuations, completions, and hyperbolic actions of metabelian groups. With Carolyn R. Abbott and Sahana Balasubramanya. Appendix co-authored with Sam Payne. Preprint, 2022. Submitted.

  3. Higher rank confining subsets and hyperbolic actions of solvable groups. With Carolyn R. Abbott and Sahana Balasubramanya. Preprint, 2021. Submitted.

  4. Stable commutator length on big mapping class groups. With Elizabeth Field and Priyam Patel. Preprint, 2021. To appear in Bulletin of the London Mathematical Society.

  5. Laminations and 2-filling rays on infinite type surfaces. With Lvzhou Chen. Preprint, 2020. To appear in Annales de l'Institut Fourier.

  6. Largest hyperbolic actions and quasi-parabolic actions in groups. With Carolyn R. Abbott. Preprint, 2019. To appear in Journal of Topology and Analysis.

  7. Geometry of the graphs of nonseparating curves: covers and boundaries. Geometriae Dedicata, 212: 73-106, 2021.

  8. WWPD elements of big mapping class groups. Groups, Geometry, and Dynamics, 15(3): 825-848, 2021.

  9. Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. With Carolyn R. Abbott. Preprint, 2019. To appear in Algebraic & Geometric Topology.

  10. Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves. Proceedings of the American Mathematical Society, 148: 2345-2357, 2020.

  11. Specializations of generalized Rikuna polynomials. With Celeste Cass, John Cullinan, and Darko Trifunovski. International Journal of Number Theory, 10: 585-600, 2014.

University of Utah

Salt Lake City, UT 84112